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Determinati suma patratelor solutiilor reale ale ecuatieix² - 2x - 15 = 0​

Răspuns :

Răspuns: 34

Explicație pas cu pas:

[tex]\bf x^2 - 2x - 15 = 0[/tex]

[tex]\bf x^2 +3x -5x - 15 = 0[/tex]

[tex]\bf x\cdot(x+3) -5\cdot(x +3) = 0[/tex]

[tex]\bf (x+3) \cdot(x -5) = 0[/tex]

[tex]\bf (x+3) = 0 \implies \blue{\underline{x_{1}=-3}}[/tex]

[tex]\bf (x-5) = 0 \implies \blue{\underline{x_{2}=5}}[/tex]

[tex]\bf \red{\underline{Suma ~patratelor}}: (-3)^2+5^2=9+25=\red{\underline{34}}[/tex]

==pav38==